The SIM does not contain or save any data except the logging in information on your Cellular Service Provider’s Network. You will not lose any data that is currently on your iPhone when you switch to eSIM or back to Physical SIM.
NOTE: You can also use both SIMs (1 Physical and 1 eSIM) simultaneously together with your iPhone 13 Mini.
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Also, FYI: These are user-only forums. This is not Apple Support. if you need to contact Apple Support, then contact product and tech support: 👉 Contacting Apple for support and service including international calling numbers.
Axel F.